διέξ-ειμι · diex-eimi — LSJ
go out through
go out through, διεξίμεναι πεδίονδε Il. 6.393; ἐξ αὐλῆς ἐς . . Hdt. 2.148.
2 go through, pass through
go through, pass through a country, δ. τῆς Λιβύης τὰ ἄνω ib. 25; τὴν Μιλησίην Id. 5.29; διὰ πάσης Εὐρώπης Id. 2.36; διὰ παντὸς τοῦ σώματος Th. 2.49, cf. 3.45; χώραν, τόπον, Plb. 4.25.4, Plu. Symp. 2.149a.
3 traverse the whole length of
traverse the whole length of a line, Arist. EN 1174a34.
II go through in detail, relate circumstantially, go through, expound, deliver
in counting or recounting, go through in detail, relate circumstantially, Hdt. 1.116, 7.77, etc.; περί τινος Isoc. 5.4, Pl. Prt. 361e, etc.; go through, by way of examining, E. Hipp. 1024; expound, Epicur. Nat. 2.11; deliver, ἐγκώμιον Plu. Ant. 14.